Abstract: In this talk, we present the main ideas for the analysis of a space-time DG method for the incompressible Navier-Stokes equations. This method combines an H(div)-conforming DG spatial discretization with a DG time-stepping scheme, and we show that it is both pressure robust and Reynolds semi-robust.
Proving stability and convergence for high-order approximations requires nonstandard techniques. We overcome this challenge using carefully chosen test functions, establishing well-posedness, unconditional stability, and quasi-optimal error estimates (even for high Reynolds numbers).
Finally, we present numerical experiments that validate the robustness and accuracy of the method.
Pressure- and Reynolds-semi-robust space-time DG methods for the incompressible Navier-Stokes equations
14.05.2025 14:00 - 14:45
Organiser:
SFB 65
Location:
HS 2, EG, OMP 1
Location:
und Zoom
Verwandte Dateien
- pde_afternoon_2025-05-14.pdf 899 KB